GCF of 9171/471, 3615/9432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9171/471, 3615/9432 i.e 3/1480824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9171/471, 3615/9432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9171/471,3615/9432?
Given fractions are 9171/471,3615/9432
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9171/471,3615/9432, numerators are 9171,3615
Denominators are 471,9432
The GCF of 9171,3615 is 3 .
LCM of 471,9432 is 1480824.
The greatest common factor of 9171/471,3615/9432 = [GCF of 9171,3615]/[LCM of 471,9432]= 3/1480824
Therefore, the GCF of 9171/471,3615/9432 is 3/1480824.
To find the highest common factor of 9171,3615, we have to find the factors of both numbers and list the highest common factor.
The factors of 9171 are 1, 3, 9, 1019, 3057, 9171
The factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615
The HCF of 9171,3615 is 3.
Lets's calculate GCF of 9171,3615
| 3 | 9171, 3615 |
| 3057, 1205 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9171,3615 By Matching Biggest Common Factor Method
Now, list down the factors of 9171
:1,3,9,1019,3057,9171
Now, list down the factors of 3615
:1,3,5,15,241,723,1205,3615
Greatest Common Factor
We found the factors 9171,3615 . The biggest common factor number is the GCF number.
So the greatest common factor 9171,3615 is 3.
Lets's calculate LCM of 471,9432
| 3 | 471, 9432 |
| 157, 3144 |
∴ So the LCM of the given numbers is 3 x 157 x 3144 = 1480824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1480824
Therefore, the GCF of Fractions 9171/471,3615/9432 is 3/1480824
Least Common Multiple of 471,9432 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 471,9432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,9432) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,9432) x common factors =3 x 1 = 3
LCM(471,9432) = ( 471 × 9432 ) / 3
LCM(471,9432) = 4442472 / 3
LCM(471,9432) = 1480824
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FAQs on GCF of Fractions of 9171/471, 3615/9432
1. What is the HCF of 9171,3615?
The HCF of 9171,3615 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9171/471, 3615/9432?
Answer: GCF of Numerators as per given numbers 9171/471, 3615/9432 is
GCF of Numerators i.e. for 9171,3615 is 3
LCM of denominators i.e. for 471,9432 is 1480824.
Thus, GCF of Fractions is 3/1480824.Finally, GCF of Fractions for 9171/471, 3615/9432 is 3/1480824.